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Finding the Fourth Proportional to 588.75, 883.40 and 332.25

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Solution

The fourth proportional to 588.75, 883.40 and 332.25 is: 498.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.75 : 883.40 = 332.25 : x
  2. Step 2: Convert to fraction form
    588.75/883.40 = 332.25/x
  3. Step 3: Cross multiply
    588.75x = 883.40 × 332.25
  4. Step 4: Simplify right side
    588.75x = 293,507.99
  5. Step 5: Solve for x
    x = 293,507.99/588.75
  6. Step 6: Final answer
    x = 498.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.